TSTP Solution File: GRP613-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP613-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:49:16 EDT 2024

% Result   : Unsatisfiable 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   11 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f936,plain,
    $false,
    inference(equality_resolution,[],[f827]) ).

fof(f827,plain,
    ! [X0] : inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(X0,inverse(X0))),
    inference(superposition,[],[f4,f328]) ).

fof(f328,plain,
    ! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
    inference(superposition,[],[f213,f165]) ).

fof(f165,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f77,f44]) ).

fof(f44,plain,
    ! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
    inference(superposition,[],[f33,f27]) ).

fof(f27,plain,
    ! [X3,X1] : double_divide(inverse(double_divide(inverse(X3),inverse(X1))),X3) = X1,
    inference(forward_demodulation,[],[f15,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.HIpOLQfGu3/Vampire---4.8_1950',single_axiom) ).

fof(f15,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(X3),double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(inverse(X1)))),X2)),double_divide(X0,X2)))),X3) = X1,
    inference(superposition,[],[f6,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),inverse(X3))),double_divide(X0,X2))),X1) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f33,plain,
    ! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X0),X0)) = X1,
    inference(superposition,[],[f1,f27]) ).

fof(f77,plain,
    ! [X2,X1] : double_divide(inverse(double_divide(inverse(X2),inverse(X1))),X1) = X2,
    inference(forward_demodulation,[],[f69,f44]) ).

fof(f69,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X2))),inverse(X1))),X1) = X2,
    inference(superposition,[],[f1,f44]) ).

fof(f213,plain,
    ! [X0,X1] : double_divide(inverse(X1),X1) = double_divide(X0,inverse(X0)),
    inference(superposition,[],[f84,f165]) ).

fof(f84,plain,
    ! [X0,X1] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
    inference(superposition,[],[f73,f33]) ).

fof(f73,plain,
    ! [X2,X1] : double_divide(inverse(X2),double_divide(inverse(X2),X1)) = X1,
    inference(forward_demodulation,[],[f64,f44]) ).

fof(f64,plain,
    ! [X2,X0,X1] : double_divide(inverse(X2),double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X2))),X1)) = X1,
    inference(superposition,[],[f5,f44]) ).

fof(f5,plain,
    ! [X2,X0,X1] : double_divide(inverse(X1),double_divide(inverse(double_divide(X0,inverse(X1))),double_divide(X0,inverse(X2)))) = X2,
    inference(superposition,[],[f1,f1]) ).

fof(f4,plain,
    inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    file('/export/starexec/sandbox/tmp/tmp.HIpOLQfGu3/Vampire---4.8_1950',multiply) ).

fof(f3,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/tmp/tmp.HIpOLQfGu3/Vampire---4.8_1950',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GRP613-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 20:40:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.HIpOLQfGu3/Vampire---4.8_1950
% 0.61/0.81  % (2408)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.81  % (2408)Refutation not found, incomplete strategy% (2408)------------------------------
% 0.61/0.81  % (2408)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (2408)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (2408)Memory used [KB]: 948
% 0.61/0.81  % (2408)Time elapsed: 0.001 s
% 0.61/0.81  % (2408)Instructions burned: 2 (million)
% 0.61/0.81  % (2408)------------------------------
% 0.61/0.81  % (2408)------------------------------
% 0.61/0.81  % (2403)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (2401)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81  % (2404)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81  % (2402)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.81  % (2406)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81  % (2405)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81  % (2407)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.81  % (2404)Refutation not found, incomplete strategy% (2404)------------------------------
% 0.61/0.81  % (2404)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (2404)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (2404)Memory used [KB]: 947
% 0.61/0.81  % (2404)Time elapsed: 0.002 s
% 0.61/0.81  % (2404)Instructions burned: 2 (million)
% 0.61/0.81  % (2405)Refutation not found, incomplete strategy% (2405)------------------------------
% 0.61/0.81  % (2405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (2405)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (2406)Refutation not found, incomplete strategy% (2406)------------------------------
% 0.61/0.81  % (2406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (2406)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (2406)Memory used [KB]: 948
% 0.61/0.81  % (2406)Time elapsed: 0.002 s
% 0.61/0.81  % (2406)Instructions burned: 2 (million)
% 0.61/0.81  % (2401)Refutation not found, incomplete strategy% (2401)------------------------------
% 0.61/0.81  % (2401)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (2401)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (2401)Memory used [KB]: 962
% 0.61/0.81  % (2401)Time elapsed: 0.002 s
% 0.61/0.81  % (2401)Instructions burned: 2 (million)
% 0.61/0.81  % (2405)Memory used [KB]: 961
% 0.61/0.81  % (2405)Time elapsed: 0.002 s
% 0.61/0.81  % (2405)Instructions burned: 2 (million)
% 0.61/0.81  % (2404)------------------------------
% 0.61/0.81  % (2404)------------------------------
% 0.61/0.81  % (2406)------------------------------
% 0.61/0.81  % (2406)------------------------------
% 0.61/0.81  % (2407)Refutation not found, incomplete strategy% (2407)------------------------------
% 0.61/0.81  % (2407)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (2407)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (2407)Memory used [KB]: 949
% 0.61/0.81  % (2407)Time elapsed: 0.002 s
% 0.61/0.81  % (2407)Instructions burned: 2 (million)
% 0.61/0.81  % (2401)------------------------------
% 0.61/0.81  % (2401)------------------------------
% 0.61/0.81  % (2405)------------------------------
% 0.61/0.81  % (2405)------------------------------
% 0.61/0.81  % (2407)------------------------------
% 0.61/0.81  % (2407)------------------------------
% 0.61/0.81  % (2411)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.81  % (2413)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.81  % (2414)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.81  % (2415)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.81  % (2416)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.81  % (2417)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.81  % (2413)Refutation not found, incomplete strategy% (2413)------------------------------
% 0.61/0.81  % (2413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (2413)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (2413)Memory used [KB]: 948
% 0.61/0.82  % (2413)Time elapsed: 0.002 s
% 0.61/0.82  % (2413)Instructions burned: 2 (million)
% 0.61/0.82  % (2416)Refutation not found, incomplete strategy% (2416)------------------------------
% 0.61/0.82  % (2416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (2413)------------------------------
% 0.61/0.82  % (2413)------------------------------
% 0.61/0.82  % (2416)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (2417)Refutation not found, incomplete strategy% (2417)------------------------------
% 0.61/0.82  % (2417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (2417)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (2417)Memory used [KB]: 948
% 0.61/0.82  % (2417)Time elapsed: 0.002 s
% 0.61/0.82  % (2417)Instructions burned: 2 (million)
% 0.61/0.82  % (2416)Memory used [KB]: 948
% 0.61/0.82  % (2416)Time elapsed: 0.003 s
% 0.61/0.82  % (2416)Instructions burned: 2 (million)
% 0.61/0.82  % (2417)------------------------------
% 0.61/0.82  % (2417)------------------------------
% 0.61/0.82  % (2416)------------------------------
% 0.61/0.82  % (2416)------------------------------
% 0.61/0.82  % (2420)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.82  % (2421)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.82  % (2423)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.61/0.82  % (2421)Refutation not found, incomplete strategy% (2421)------------------------------
% 0.61/0.82  % (2421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (2421)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (2421)Memory used [KB]: 948
% 0.61/0.82  % (2421)Time elapsed: 0.003 s
% 0.61/0.82  % (2421)Instructions burned: 2 (million)
% 0.61/0.82  % (2423)Refutation not found, incomplete strategy% (2423)------------------------------
% 0.61/0.82  % (2423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (2423)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (2423)Memory used [KB]: 963
% 0.61/0.82  % (2423)Time elapsed: 0.002 s
% 0.61/0.82  % (2421)------------------------------
% 0.61/0.82  % (2421)------------------------------
% 0.61/0.82  % (2423)Instructions burned: 2 (million)
% 0.61/0.82  % (2423)------------------------------
% 0.61/0.82  % (2423)------------------------------
% 0.61/0.83  % (2426)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.83  % (2427)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.83  % (2427)Refutation not found, incomplete strategy% (2427)------------------------------
% 0.61/0.83  % (2427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (2427)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (2427)Memory used [KB]: 948
% 0.61/0.83  % (2427)Time elapsed: 0.003 s
% 0.61/0.83  % (2427)Instructions burned: 2 (million)
% 0.61/0.83  % (2427)------------------------------
% 0.61/0.83  % (2427)------------------------------
% 0.61/0.83  % (2411)Instruction limit reached!
% 0.61/0.83  % (2411)------------------------------
% 0.61/0.83  % (2411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (2411)Termination reason: Unknown
% 0.61/0.83  % (2411)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (2411)Memory used [KB]: 1405
% 0.61/0.83  % (2411)Time elapsed: 0.019 s
% 0.61/0.83  % (2411)Instructions burned: 55 (million)
% 0.61/0.83  % (2411)------------------------------
% 0.61/0.83  % (2411)------------------------------
% 0.61/0.83  % (2431)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.61/0.83  % (2432)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.61/0.83  % (2402)First to succeed.
% 0.61/0.83  % (2402)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2219"
% 0.61/0.83  % (2402)Refutation found. Thanks to Tanya!
% 0.61/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83  % (2402)------------------------------
% 0.61/0.83  % (2402)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (2402)Termination reason: Refutation
% 0.61/0.83  
% 0.61/0.83  % (2402)Memory used [KB]: 1335
% 0.61/0.83  % (2402)Time elapsed: 0.025 s
% 0.61/0.83  % (2402)Instructions burned: 43 (million)
% 0.61/0.83  % (2219)Success in time 0.46 s
% 0.61/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------